15000 = 12000 * (1.088) ^ x 15000 / 12000 = 1.088 ^ x 1.25 = 1.088 ^ x log 1.25 = x * log 1.088 x = log 1.25 / log 1.088 x = 0.09691 / 0.03663 = 2.646 3 months. Where is this bank? 8.8%...
15000 = 12000 * (1.088) ^ x 15000 / 12000 = 1.088 ^ x 1.25 = 1.088 ^ x log 1.25 = x * log 1.088 x = log 1.25 / log 1.088 x = 0.09691 / 0.03663 = 2.646 3 months. Where is this bank? 8.8%...
1.05 x = 20370 x = 20370 / 1.05 x = 19400
The two numbers are x and 3x-6. x + 3x - 6 = 22 4x = 28 x = 7 The two numbers are 7 and 15.
I have to ask ... should the fourth term be 4/17? If so, after setting all numerators equal to 4, the four given terms would be 4/20, 4/19, 4/18, and 4/17. The tenth term would be 4/11. A harmonic progression is formed by taking the reciprocals of an arithmetic...
Is W^3 part of the denominator? In other words, is the problem (1 / W^4) - W^3 or 1 / (W^4 - W^3)?
A number raised to a negative exponent is the reciprocal of the same number raised to the absolute value of the exponent. So, for example, x^-4 = 1 / x^4. (2p)^-4 = 1 / (2p)^4 = 1 / 16p^4.
You want to isolate A, and the way to do this here is to divide both sides by BC. So A = D / BC.
Remember FOIL ... First, Inner, Outer, Last First ... multiply the first terms of the two binomials ... x * x = x^2 Outer ... multiply the first term of the first binomial and the second term of the second binomial ... x * 5 = 5x Inner ... multiply the second term of the first binomial...
In all cases, you would substitute the number in parentheses for x and solve the equation. For example.. f(4) = 3/4 * 4 + 2 f(4) = 3 + 2 f(4) = 5 f(-4) = 3/4 * -4 + 2 f(-4) = -3 + 2 f(-4) = -1
Let's say the smaller of the two numbers is x. The larger of the two must be x + 22. So, x + x + 22 = 2x + 22 = 84. Subtract 22 from both sides to get 2x = 62. Divided by 2 to get x = 31. So the two numbers are 31 and 31 + 22 = 53.
The easiest way to answer this type of question is to multiply all four terms together. You can do this because multiplication is commutative; it doesn't matter how the terms are organized as long as all are included in the final product. (-4) (10^-6) (2) (10^4) First, multiply -4...
A negative exponent indicates a reciprocal of the positive exponent, so x^-3 = 1 / x^3. That said... (7x)^-2 = 1 / (7x)^2 = 1 / 49x^2
The logarithm is the power to which the base is raised to get a certain number. What's that? You want it in English? Well, OK... Let's start with base 10 logarithms. (For this paragraph, "log" will mean base 10 log.) If I say the log of 1,000 is 3, this...
The upper quartile - also known as the third quartile and the 75th percentile - is the point that divides the top quarter and bottom three quarters of a distribution. So, if your IQ score is at that point, you did better than three quarters (75%) of the norming sample. If your data are...
Perpendicular lines intersect at a 90 degree angle. For this to be true, either one line is horizontal (e.g., y = 5) and the other is vertical (e.g., x = 4) or the slopes are negative reciprocals of each other (e.g., 3 and -1/3). y = 2x and y = 3x intersect at the origin. (In both...
Both lines pass through (7, -2), therefore that is the intersection point. The linear equations that define these two lines are: y = -2/3 x + 8/3 y = 1/4 x -15/4 In both cases, substituting 7 for x will yield -2 for y. (7, -2) is the solution for this system of equations...
Explain the 101 and 570 ... do these people have degrees or more than degrees?
You can't answer this question without knowing x or the total amount invested (2x + 3000).
Was the 1992 moose population 4280 or 4620? This will make a big difference in the slope and intercept of your equation and the expected value for 2002.
In this case, you could substitute (6x-5) for y in the first equation, solve for x, and substitute the new x value into both equations to make sure you get the same answer for y... 4x + 2 (6x - 5) = -2 4x + 12x - 10 = -2 16x = 8 x = 1/2 Now substitute 1/2 for x in...